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Finding the Fourth Proportional to 227, 314.66 and 223.22

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Solution

The fourth proportional to 227, 314.66 and 223.22 is: 309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227 : 314.66 = 223.22 : x
  2. Step 2: Convert to fraction form
    227/314.66 = 223.22/x
  3. Step 3: Cross multiply
    227x = 314.66 × 223.22
  4. Step 4: Simplify right side
    227x = 70,238.41
  5. Step 5: Solve for x
    x = 70,238.41/227
  6. Step 6: Final answer
    x = 309.42

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.